Benedict Barnes
The research integrates advanced mathematical models across diverse scientific domains to address challenges in public health, urban planning, environmental management, and medicine. Employing techniques such as fractional calculus, iterative numerical methods, fixed-point theorems, wavelet-based signal processing, and virtual or physical modeling approaches, these studies develop comprehensive solutions for complex problems. These methodologies are applied across themes like anaerobic digestion of waste, nonlinear photonic systems, COVID-19 epidemiology, family dynamics, and geotechnical engineering, highlighting an interdisciplinary approach that bridges physics, medicine, urban planning, and environmental science. The focus is on leveraging analytical tools to enhance problem-solving in real-world contexts, emphasizing methodologies such as fractional calculus, iterative techniques, fixed-point proofs, virtual process modeling, and time-series analysis.
Faculty Biography
Dr. Benedict Barnes is an Associate Professor at the Mathematics Department, Kwame Nkrumah University of Science and Technology (KNUST), Kumasi, Ghana. He received his Masters and Doctoral degrees from the same university in 2011 and 2016, respectively. He has served the university in several domains across the three core duties of a university lecturer, that is, research, teaching, and service to the public. Dr. Barnes is a Mathematician whose research interest is in the field of both applied and pure mathematics with a special focus on differential equations, functional analysis, abstract algebra, linear algebra and numerical analysis. He has published articles in various aspects of mathematics including Differential Equations, Functional Analysis, Algebra and Numerical Analysis and Computations. He has published over fifty-two (52) peer reviewed articles in refereed journals, twenty-five (25) of them were published in last three years. He is a member of American Mathematical Association, Ghana Mathematics Association and a reviewer of the applied mathematical letters (Elesiver), waves in random and complex media (Taylor and Francis Group), and journal of inequalities and applications (Springer Nature). He has also presented his research findings in a number of conferences, including, the International Applied Mathematics, Algorithms and Mathematical Methods held in Rome, Italy, 2021, 2nd international conference on engineering, science, technology and entrepreneurship, and also at the Ghana science association webinar, 2021 on the theme; Covid-19 pandemic: scientific updates and the way forward.So far, he has trained one Ph.D student and has several PhD and MPhil thesis ongoing with contemporary topics such as; climate modelling, modelling of depletion of the ozone layer, modelling of infectious diseases, modeling of fluid dynamics, modelling of biochemical reactions, chaos in Chua's circuit, modelling of problems in engineering, social problems, physiology and ill-posed problems.He teaches both post-graduate and undergraduate students at the Kwame Nkrumah University of Science and Technology. He is a lecturer that in the classroom exhibits the two essential elements of a teacher, that is, science and the skill of teaching. He is also very innovative in the classroom and trains his students with an in-depth knowledge in pure mathematics and its applications in real life.Dr. Barnes has held positions in the Mathematics department, such as; the examinations officer for both regular and IDL programmes, assistant post-graduate cordinator, patron of mathematics students association. He has also served as chairman of several comittees in the Mathematics department. He has also served on both local and national committees and boards in Ghana. He has in enormous ways displayed an excellent communication and presentation skills in the several invitations he honored across the country and also, at international level. Dr. Barnes is an unapologetic nerd and his love for mathematics is superb. He is also open to collaborations with scholars and researchers in diverse fields of interest.
Advanced Numerical Analysis Techniques
Anaerobic Digestion and Biogas Production
Cervical Cancer and HPV Research
Complex Systems and Time Series Analysis
COVID-19 epidemiological studies
Differential Equations and Boundary Problems
Family Dynamics and Relationships
Fixed Point Theorems Analysis
Fractional Differential Equations Solutions
Geochemistry and Elemental Analysis
Geotechnical Engineering and Soil Stabilization
Image and Signal Denoising Methods
Iterative Methods for Nonlinear Equations
Mathematical and Theoretical Epidemiology and Ecology Models
Mathematical Inequalities and Applications
Mathematics and Applications
Municipal Solid Waste Management
Nonlinear Photonic Systems
Nonlinear Waves and Solitons
Numerical methods in inverse problems
Optimization and Mathematical Programming
Optimization and Variational Analysis
Pediatric health and respiratory diseases
Plant Water Relations and Carbon Dynamics
Quantum Chromodynamics and Particle Interactions
Viral gastroenteritis research and epidemiology
A methodological approach to solving the Korteweg–de Vries equation in its various forms
Open AccessExact solution of system of nonlinear fractional partial differential equations by modified semi-separation of variables method
Open AccessThe Modified Homogeneous Balance Method for solving fractional Cahn–Allen and equal width equations
Open AccessThe Exact Solution of the Fractional Burger’s Equation using the Modified Homogeneous Balance Method
Open AccessProportional feedback and optimal control of perturbed sine-Gordon kink solitons
The exact solution of the composite fractional differential equation
Solving system of nonlinear fractional partial differential equations by fractional semi-separation of variables method
Open AccessFractional Gauss Hypergeometric Power Series Method for Solving Fractional Partial Differential Equations
Open AccessAnalytic Solution of the Composite Fractional Oscillation Equation Using Homotopy Analysis Method and Variational Iteration Method
Open AccessThe Analytic Methods for Solving the System of Fractional Order Brusselator Equations
Open AccessModified Semiseparation of Variables Methods for Solving the System of Nonlinear Fractional Partial Differential Equations
Open AccessThe Modified Homogeneous Balance Methods for solving Korteweg–DeVries equations
Open AccessUptake and in-vitro bioaccessibility of toxic metals in cocoa beans: Human health risks
Modified Fractional Power Series Method for solving fractional partial differential equations
Open AccessConvexity Properties in Non-Newtonian Calculus and Their Applications
Open AccessThe Fractional Separation of Variables Method For Solving System Of Nonlinear Fractional Partial Differential Equation
Open AccessFractional‐Order Delay Cobweb Model and Its Price Dynamics
Open AccessThe Modified Homogeneous Balance Methods for Solving Space-Time Fractional Kaup-Kupershmidt Equation
Open AccessThe Analytic Solutions of the Fractional-Order Model for the Spatial Epidemiology of the COVID-19 Infection
Open AccessPrice Dynamics of a Delay Differential Cobweb Model
Open AccessKink collision in the noncanonical <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e581"> <mml:msup> <mml:mrow> <mml:mi>φ</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>6</mml:mn> </mml:mrow> </mml:msup> </mml:math> model: A model with localized inner structures
Open AccessThe mathematical model for marital interactions in Ghana
Open AccessMathematical Modelling of the Spatial Epidemiology of COVID-19 with Different Diffusion Coefficients
Open AccessA 2-Phase Method for Solving Transportation Problems with Prohibited Routes
Open AccessDevelopment of mathematical model for predicting methane-to-carbon dioxide proportion in anaerobic biodegradability of cattle blood and rumen content
Open AccessUsing a Divergence Regularization Method to Solve an Ill-Posed Cauchy Problem for the Helmholtz Equation
Open AccessSolving the Helmholtz Equation Together with the Cauchy Boundary Conditions by a Modified Quasi‐Reversibility Regularization Method
Open AccessScattering of kinks in noncanonical sine-Gordon Model
Open AccessKink Collision in the Noncanonical Φ⁶ Model: A Model with Localized Inner Structures
Open AccessMathematical modelling of the epidemiology of COVID-19 infection in Ghana
Open AccessThe Eigenspace Spectral Regularization Method for Solving Discrete Ill-Posed Systems
Open AccessA review of anaerobic digestion of slaughterhouse waste: effect of selected operational and environmental parameters on anaerobic biodegradability
A Finite Difference Fictitious Domain Wavelet Method for Solving Dirichlet Boundary Value Problem
Open AccessVacuum polarization energy of the kinks in the sinh-deformed models
Open AccessWavelet-Based Method for Solving Linear Elliptic PDE with Dirichlet Boundary Conditions on Irregular Domains
The Eigenspace Spectral Regularization Method for solving Discrete Ill-Posed Systems
Open AccessVacuum Polarization Energy of the Kinks in the Sinh-Deformed Models
Open AccessMathematical Modeling of Wastes Pile-Up in Kwadaso Municipality in Ashanti, Ghana
Open AccessThe Mathematical Modelling of Refuse Build-up on the University Campus: A Case Study of KNUST Campus
Open AccessAdvances in Mathematics and Computer Science Vol. 3
Open AccessThe Quotient Inequalities
Open AccessProbabilistic modeling for an integrated temporary acquired immunity with norovirus epidemiological data
Open AccessThe Proofs of the Arithmetic-Geometric Mean Inequality Through Both the Product and Binomial Inequalities
Open AccessA Generalization of Integral Transform
Open AccessProduct-Normed Linear Spaces
Open AccessThe Proofs of Product Inequalities in Vector Spaces
Open AccessThe Proofs of Triangle Inequality Using Binomial Inequalities
Open AccessOn the Notes of Quasi-Boundary Value Method for Solving both Cauchy-Dirichlet Problem of the Helmholtz Equation
Open AccessPolynomial Integral Transform for Solving Differential Equations
Open AccessA Two-Dimensional Chebyshev Wavelet Method for Solving Partial Di erential Equations
Open AccessConvex Regularization Method for Solving Cauchy Problem of the Helmholtz Equation
Open AccessModeling the Epidemiology of Human Papilloma Virus Infection and Vaccination and Its Impact on Cervical Cancer in Ghana
Open AccessMathematical Analysis of the Impact ofVaccination in the Spread of Diseases in a Large Susceptible Population
A Note on the Spread of Infectious Diseases in a Large Susceptible Population
Modelling the isotope enrichment of leaf water
In-Place Stabilization of Waste Phosphatic Clays Using Lime Columns
Department of Mathematics
Kwame Nkrumah University of Science and Technology